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16791290420 = 2253779349823
BaseRepresentation
bin11111010001101011…
…01100001000110100
31121100012202221012012
433220311230020310
5233342032243140
611414103343352
71133050420322
oct175065541064
947305687165
1016791290420
117137278023
123307451b58
1317779a9a08
14b540b0d12
156841ec265
hex3e8d6c234

16791290420 has 96 divisors (see below), whose sum is σ = 36822912000. Its totient is φ = 6425961984.

The previous prime is 16791290401. The next prime is 16791290431. The reversal of 16791290420 is 2409219761.

16791290420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20402129 + ... + 20402951.

It is an arithmetic number, because the mean of its divisors is an integer number (383572000).

Almost surely, 216791290420 is an apocalyptic number.

16791290420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16791290420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18411456000).

16791290420 is an abundant number, since it is smaller than the sum of its proper divisors (20031621580).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16791290420 is a wasteful number, since it uses less digits than its factorization.

16791290420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1295 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 41.

The spelling of 16791290420 in words is "sixteen billion, seven hundred ninety-one million, two hundred ninety thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 37 74 79 148 158 185 316 349 370 395 698 740 790 823 1396 1580 1646 1745 2923 3292 3490 4115 5846 6980 8230 11692 12913 14615 16460 25826 27571 29230 30451 51652 55142 58460 60902 64565 65017 110284 121804 129130 130034 137855 152255 258260 260068 275710 287227 304510 325085 551420 574454 609020 650170 1020127 1148908 1300340 1436135 2040254 2405629 2872270 4080508 4811258 5100635 5744540 9622516 10201270 10627399 12028145 20402540 21254798 22690933 24056290 42509596 45381866 48112580 53136995 90763732 106273990 113454665 212547980 226909330 453818660 839564521 1679129042 3358258084 4197822605 8395645210 16791290420